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Mathematics
Mathematics
Problem
The velocity of a particle is given by
v
(
t
)
=
2
t
+
1
t
2
+
1
v(t)=\dfrac{2t+1}{t^{2}+1}
v
(
t
)
=
t
2
+
1
2
t
+
1
meters per second. What is the particle’s acceleration at
t
=
1
t=1
t
=
1
second? a)
+
1
2
m/s
2
+\dfrac{1}{2}\text{ m/s}^2
+
2
1
m/s
2
b)
−
3
4
m/s
2
-\dfrac{3}{4}\text{ m/s}^2
−
4
3
m/s
2
c)
−
1
2
m/s
2
-\dfrac{1}{2}\text{ m/s}^2
−
2
1
m/s
2
d)
−
1
m/s
2
-1\text{ m/s}^2
−
1
m/s
2
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